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Ann [662]
3 years ago
13

What is the nth term of this number sequence 25, 20, 15, 10, 5

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

the next term you subtract 5 just as it is in the others to get the next term

Step-by-step explanation:

so5-5=0

the next term is 0

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the answer is a 2/3 change(when simplified) that there will be a number 4 or smaller will there is a 1/3 changed(when simplified) that it will land high than 4  

Step-by-step explanation:

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PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​
Sedaia [141]

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The percent decrease: 33.33..%

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Evaluate the limit as x approaches 0 of (1 - x^(sin(x)))/(x*log(x))
e-lub [12.9K]
sin~ x \approx x ~ ~\sf{as}~~ x \rightarrow 0

We can replace sin x with x anywhere in the limit as long as x approaches 0.

Also,

\large  \lim_{ x \to 0  } ~  x^x = 1

I will make the assumption that <span>log(x)=ln(x)</span><span>.

The limit result can be proven if the base of </span><span>log(x)</span><span> is 10. 
</span>
\large \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{x  \log x }  \\~\\  \large = \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{ \log( x^x)  }   \\~\\  \large = \lim_{x \to 0^{+}} \frac{1- x^{x} }{ \log( x^x)  }  ~~ \normalsize{\text{ substituting x for sin x } } \\~\\   \large  = \frac{\lim_{x \to 0^{+}} (1) - \lim_{x \to 0^{+}} \left( x^{x}\right) }{ \log(  \lim_{x \to 0^{+}}x^x)  } = \frac{1-1}{\log(1)}   = \frac{0}{0}

We get the indeterminate form 0/0, so we have to use <span>Lhopitals rule 

</span>\large \lim_{x \to 0^{+}} \frac{1- x^{x} }{ \log( x^x)  } =_{LH} \lim_{x \to 0^{+}} \frac{0 -x^x( 1 + \log (x)) }{1 + \log (x)  }   \\ = \large \lim_{x \to 0^{+}} (-x^x) = \large - \lim_{x \to 0^{+}} (x^x) = -1
<span>
Therefore,

</span>\large \lim_{x \to 0^{+}} \frac{1- x^{\sin x} }{x  \log x }  =\boxed{ -1}<span>
</span>
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3 years ago
the backyard of a new home is shaped like a trapezoid with a height of 42 ft and bases of 88 ft and 111 ft. what is the cost of
alina1380 [7]
I think it’s pretty interpretative, the reason I didn’t divide 483/2 like you would normally with a triangle, is because there are 2 triangles in a trapezoid. Also you can split the two triangles off the trapezoid because in a trapezoid the train for will awkward be right.

8 0
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